1. Groups whose degree graph has three independent vertices.
- Author
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Dolfi, Silvio, Khedri, Khatoon, and Pacifici, Emanuele
- Subjects
- *
GEOMETRIC vertices , *GRAPH theory , *FINITE groups , *SUBGRAPHS , *MATHEMATICAL bounds - Abstract
Let G be a finite group, and let cd ( G ) denote the set of degrees of the irreducible complex characters of G . This paper is a contribution to the study of the degree graph of G , that is, the prime graph built on the set cd ( G ) . Namely, we characterize finite groups whose degree graph has three independent vertices (i.e., three vertices that are pairwise non-adjacent). Our result turns out to be a generalization of several previously-known theorems concerning the structure of the degree graph. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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